Examine If the relation P on the set S is (i) reflexive ( ii) symmetric (iii) transitive `S = NxxN` and P is defined by (a,b)P(c,d) if and only if ad = bc.

Explain the Relation (i) Reflexive (ii)Symmetric(iii) Transitive

Define a relation R on the set A ={a,b,c} which is neither reflexive nor symmetric and transitive.

R_(2)={(a,a)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

R_(3)={(b,c)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

R={(b , c)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

For n.m in N,n|m means that n a factor of m, the relation |is- (i) reflexive and symmetric (ii) transitive and symmetric (ii) reflexive, transitive and symmetric (iv) reflexive, transitive and not symmetric

R_2={(a ,\ a)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

Show that the relation is a subset of on the set of all sets is reflexive and transitive but not symmetric on S.

On the set of natural number let R be the relation defined by aRb if a+b lt=6 . Write down the relation by listing all the pairs. Check whether it is (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence.